In the following number sequence, how many such even numbers are there...
Solution:
To find the required even numbers, we need to check the condition that the number should be exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number.
Let's go through the given sequence step by step:
- 4 is not even, so we skip it.
- 8 is even and divisible by its immediate preceding number 4, but it is also divisible by its immediate following number 6. So, we skip it.
- 6 is not even, so we skip it.
- 7 is not even, so we skip it.
- 8 is even and divisible by its immediate preceding number 7, but it is also divisible by its immediate following number 6. So, we skip it.
- 6 is not even, so we skip it.
- 7 is not even, so we skip it.
- 5 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 5, but it is not divisible by its immediate following number 3. So, we have one number that satisfies the condition.
- 3 is not even, so we skip it.
- 9 is not even, so we skip it.
- 7 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 7, but it is not divisible by its immediate following number 2. So, we have another number that satisfies the condition.
- 2 is even and divisible by its immediate preceding number 6, but it is not divisible by its immediate following number 8. So, we have another number that satisfies the condition.
- 6 is even and divisible by its immediate preceding number 2, but it is not divisible by its immediate following number 7. So, we have another number that satisfies the condition.
- 7 is not even, so we skip it.
- 7 is not even, so we skip it.
- 2 is even and divisible by its immediate preceding number 7, but it is not divisible by its immediate following number 8. So, we have another number that satisfies the condition.
- 8 is even and divisible by its immediate preceding number 2, but it is not divisible by its immediate following number 3. So, we have another number that satisfies the condition.
- 3 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 8, but it is not divisible by its immediate following number 9. So, we have another number that satisfies the condition.
- 9 is not even, so we skip it.
- 7 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 9, but it is not divisible by its immediate following number 7. So, we have another number that satisfies the condition.
- 8 is even and divisible by its immediate preceding number 6, but it is also divisible by its immediate following number 7. So, we skip it.
- 7 is not even, so we skip it.
Therefore, there are a total of four even numbers in the given sequence that are exactly divisible by their immediate preceding number but not exactly divisible by their immediate following number. Hence, the correct answer is option D.
In the following number sequence, how many such even numbers are there...
Follow the instructions ...there are only four numbers that satisfy this